(3x-2)(14x*2744-5x+6)=-12

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Solution for (3x-2)(14x*2744-5x+6)=-12 equation: 


Simplifying
(3x + -2)(14x * 2744 + -5x + 6) = -12

Reorder the terms:
(-2 + 3x)(14x * 2744 + -5x + 6) = -12

Reorder the terms for easier multiplication:
(-2 + 3x)(14 * 2744x + -5x + 6) = -12

Multiply 14 * 2744
(-2 + 3x)(38416x + -5x + 6) = -12

Reorder the terms:
(-2 + 3x)(6 + 38416x + -5x) = -12

Combine like terms: 38416x + -5x = 38411x
(-2 + 3x)(6 + 38411x) = -12

Multiply (-2 + 3x) * (6 + 38411x)
(-2(6 + 38411x) + 3x * (6 + 38411x)) = -12
((6 * -2 + 38411x * -2) + 3x * (6 + 38411x)) = -12
((-12 + -76822x) + 3x * (6 + 38411x)) = -12
(-12 + -76822x + (6 * 3x + 38411x * 3x)) = -12
(-12 + -76822x + (18x + 115233x2)) = -12

Combine like terms: -76822x + 18x = -76804x
(-12 + -76804x + 115233x2) = -12

Add '12' to each side of the equation.
-12 + -76804x + 12 + 115233x2 = -12 + 12

Reorder the terms:
-12 + 12 + -76804x + 115233x2 = -12 + 12

Combine like terms: -12 + 12 = 0
0 + -76804x + 115233x2 = -12 + 12
-76804x + 115233x2 = -12 + 12

Combine like terms: -12 + 12 = 0
-76804x + 115233x2 = 0

Solving
-76804x + 115233x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-76804 + 115233x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-76804 + 115233x)' equal to zero and attempt to solve:

Simplifying
-76804 + 115233x = 0

Solving
-76804 + 115233x = 0

Move all terms containing x to the left, all other terms to the right.

Add '76804' to each side of the equation.
-76804 + 76804 + 115233x = 0 + 76804

Combine like terms: -76804 + 76804 = 0
0 + 115233x = 0 + 76804
115233x = 0 + 76804

Combine like terms: 0 + 76804 = 76804
115233x = 76804

Divide each side by '115233'.
x = 0.6665104614

Simplifying
x = 0.6665104614
Solution
x = {0, 0.6665104614}

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